ह्यूकेल सन्निकटन (Hückel approximation) में, साइक्लोप्रोपिनिल धनायन (cyclopropenyl cation) के लिए कुल π-इलेक्ट्रॉन ऊर्जा क्या है? [जहाँ α और β क्रमशः कूलम्ब समाकल और अनुनाद समाकल हैं]

The energies E± (in atomic units) of bonding (+) and antibonding (-) MOs of H2+, obtained by linear combination of 1s orbitals of H-atoms using the variation principle, are [where J is Coulomb integral, K is exchange integral, S is overlap integral]:

Given the trial wavefunction φ(x) = ae-αx2 + be-β|x| for a system with harmonic oscillator potential V(x) = 12mω2x2, the variationally optimized ground-state energy is obtained with the parameters: